Answer:
2.25
Step-by-step explanation:
to find slope it is (y2-y1)/(x2-x1)
(15.25-8.50)/(5-2)
6.75/3
2.25 is the slope
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Answer:
1/36) = 0.0277777777778
(1/108)^3 = 7.9383224102 x 10^-7
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 = 0.03125
The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
If you are talking about $110 being increased by 140% then the answer is $264